t/λ)" for each (upper or lower) side, where λ and t are the field penetration depth and the layer thickness, respectively. Then, we apply Chang's formula to the transformed stripline model. The calculated results are in good agreement with the numerical and experimental results." />

Analytical Inductance Calculation of Superconducting Stripline by Use of Transformation into Perfect Conductor Model

Yoshinao MIZUGAKI  Akio KAWAI  Ryuta KASHIWA  Masataka MORIYA  Tadayuki KOBAYASHI  

Publication
IEICE TRANSACTIONS on Electronics   Vol.E93-C   No.4   pp.486-488
Publication Date: 2010/04/01
Online ISSN: 1745-1353
DOI: 10.1587/transele.E93.C.486
Print ISSN: 0916-8516
Type of Manuscript: BRIEF PAPER
Category: 
Keyword: 
superconductor,  stripline,  inductance,  penetration depth,  analytical calculation,  SQUID,  

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Summary: 
We present analytical expression for inductance of a superconducting stripline, a strip sandwiched by two superconducting ground planes. In our method, we utilize the analytical formula for a perfect-conducting stripline derived by Chang in 1976. To utilize Chang's formula, we first transform the structure of a superconducting stripline into that of a perfect-conducting stripline by reducing the thicknesses of the superconducting layers. The thickness reduction is "λ coth (t/λ)" for each (upper or lower) side, where λ and t are the field penetration depth and the layer thickness, respectively. Then, we apply Chang's formula to the transformed stripline model. The calculated results are in good agreement with the numerical and experimental results.